Add, subtract, multiply, divide, simplify, and convert fractions to decimals or percents with step-by-step work. Handles mixed numbers, improper fractions, and fraction-to-decimal conversions. Also called a fractions calculator, fraction to decimal calculator, simplify fractions calculator, or mixed number calculator.
To convert any fraction to a decimal, divide the numerator by the denominator. To go from a decimal to a percent, multiply by 100. The calculator below handles all of this plus fraction arithmetic.
A fraction calculator — also called a fractions calculator, simplify fractions calculator, mixed number calculator, improper fraction calculator, fraction math calculator, fraction-to-decimal calculator, fraction-to-percent calculator, equivalent fractions calculator, common denominator calculator, or ratio calculator — performs the four basic fraction operations (add, subtract, multiply, divide) on proper fractions, improper fractions, and mixed numbers. It returns a simplified result plus optional decimal and percent equivalents, and shows step-by-step work using the least-common-denominator method.
Common uses include scaling recipes (½ cup × 3 = 1.5 cups), calculating test-score fractions (47/50 = 94%), converting fractions to decimals or percents for grade school, doing homework with mixed numbers (2⅓ + 1½ = 3⅚), and simplifying engineering or construction fractions. This calculator handles negative fractions, mixed numbers, improper fractions, and gives both an exact simplified result and a decimal / percent form.
Divide the numerator by the denominator to get the decimal, then multiply by 100 for the percent. Thirds repeat forever, so their percents are rounded to two decimal places:
| Fraction | Decimal | Percent |
|---|---|---|
| 1/4 | 0.25 | 25% |
| 1/3 | 0.333… | 33.33% |
| 1/2 | 0.5 | 50% |
| 3/4 | 0.75 | 75% |
| 2/3 | 0.666… | 66.67% |
| 5/8 | 0.625 | 62.5% |
Source: Common Core State Standards; NCTM.
Fractions represent parts of a whole number and are essential in mathematics.
Operations:
Fraction Types:
Always simplify fractions to their lowest terms for the most accurate representation.
Type the numerators and denominators. We support proper fractions, improper fractions, mixed numbers, and decimals.
Add, subtract, multiply, divide, simplify, or convert between forms. Each operation uses the standard math algorithm with step-by-step display.
See the answer in lowest terms, as a mixed number, and as a decimal. The fraction calculator also shows the common denominator used in the work.
For related calculations, try our decimal to fraction calculator.
Cross-checked against authoritative formulas (IRS, NIST, ACSM) and updated for 2025/2026 tax years and rates.
No server roundtrip. All math runs in your browser so results appear the moment you finish typing.
We never collect, store, or transmit your inputs. Every calculation runs locally in your browser.
Each calculator includes the formula, plain-English explanation, and FAQs so you understand the result.
Estimates only. Calculator results are for educational and planning purposes — not professional advice. For binding decisions on taxes, investments, health, or legal matters, consult a qualified professional.
FAQ
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A fraction calculator is a free math tool that adds, subtracts, multiplies, divides, and simplifies fractions with step-by-step work. Our fraction calculator handles proper fractions, improper fractions, mixed numbers, and decimals. The fraction calculator is used in cooking, construction, and math education.
How it works
Our fraction calculator lets you perform any operation on two fractions and get a simplified result plus a step-by-step walkthrough.
Type the numerator and denominator of the first fraction. Use whole numbers or negative values as needed.
Choose add, subtract, multiply, or divide. The calculator applies the matching rule (find a common denominator for add and subtract, multiply across for multiply, flip and multiply for divide).
Type the numerator and denominator of the second fraction in the matching fields.
The calculator shows the answer as a simplified fraction and a decimal, plus a brief walkthrough of the steps.
Develop expert mathematical problem-solving skills with guidance on percentages, fractions, geometry, and probability.
Learn professional best practices for using calculators effectively and avoiding common mistakes.
All of these queries are answered by the calculator above. Different people search for the same tool with different words.
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